42127488 has 192 divisors, whose sum is σ = 136445400. Its totient is φ = 12386304.

The previous prime is 42127483. The next prime is 42127489. The reversal of 42127488 is 88472124.

It can be written as a sum of positive squares in 4 ways, for example, as 28643904 + 13483584 = 5352^2 + 3672^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42127483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 434256 + ... + 434352.

Almost surely, 2^42127488 is an apocalyptic number.

42127488 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42127488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68222700).

42127488 is an abundant number, since it is smaller than the sum of its proper divisors (94317912).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42127488 is a wasteful number, since it uses less digits than its factorization.

42127488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 144 counting only the distinct ones).

The product of its digits is 28672, while the sum is 36.

The square root of 42127488 is about 6490.5691584021. The cubic root of 42127488 is about 347.9540169128.

It can be divided in two parts, 4212 and 7488, that multiplied together give a square (31539456 = 5616²).

The spelling of 42127488 in words is "forty-two million, one hundred twenty-seven thousand, four hundred eighty-eight".